Conformal blocks from celestial gluon amplitudes. Part II. Single-valued correlators

Abstract In a recent paper, here referred to as part I, we considered the celestial four-gluon amplitude with one gluon represented by the shadow transform of the corresponding primary field operator. This correlator is ill-defined because it contains branch points related to the presence of conform...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Wei Fan, Angelos Fotopoulos, Stephan Stieberger, Tomasz R. Taylor, Bin Zhu
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	Conformal Field Theory Scattering Amplitudes Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/ccdd9aae761f484bb2af5dc380a1a09c
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:ccdd9aae761f484bb2af5dc380a1a09c
record_format	dspace
spelling	oai:doaj.org-article:ccdd9aae761f484bb2af5dc380a1a09c2021-11-28T12:39:31ZConformal blocks from celestial gluon amplitudes. Part II. Single-valued correlators10.1007/JHEP11(2021)1791029-8479https://doaj.org/article/ccdd9aae761f484bb2af5dc380a1a09c2021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)179https://doaj.org/toc/1029-8479Abstract In a recent paper, here referred to as part I, we considered the celestial four-gluon amplitude with one gluon represented by the shadow transform of the corresponding primary field operator. This correlator is ill-defined because it contains branch points related to the presence of conformal blocks with complex spin. In this work, we adopt a procedure similar to minimal models and construct a single-valued completion of the shadow correlator, in the limit when the shadow is “soft.” By following the approach of Dotsenko and Fateev, we obtain an integral representation of such a single-valued correlator. This allows inverting the shadow transform and constructing a single-valued celestial four-gluon amplitude. This amplitude is drastically different from the original Mellin amplitude. It is defined over the entire complex plane and has correct crossing symmetry, OPE and bootstrap properties. It agrees with all known OPEs of celestial gluon operators. The conformal block spectrum consists of primary fields with dimensions ∆ = m + iλ, with integer m ≥ 1 and various, but always integer spin, in all group representations contained in the product of two adjoint representations.Wei FanAngelos FotopoulosStephan StiebergerTomasz R. TaylorBin ZhuSpringerOpenarticleConformal Field TheoryScattering AmplitudesNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-35 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Conformal Field Theory Scattering Amplitudes Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	Conformal Field Theory Scattering Amplitudes Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Wei Fan Angelos Fotopoulos Stephan Stieberger Tomasz R. Taylor Bin Zhu Conformal blocks from celestial gluon amplitudes. Part II. Single-valued correlators
description	Abstract In a recent paper, here referred to as part I, we considered the celestial four-gluon amplitude with one gluon represented by the shadow transform of the corresponding primary field operator. This correlator is ill-defined because it contains branch points related to the presence of conformal blocks with complex spin. In this work, we adopt a procedure similar to minimal models and construct a single-valued completion of the shadow correlator, in the limit when the shadow is “soft.” By following the approach of Dotsenko and Fateev, we obtain an integral representation of such a single-valued correlator. This allows inverting the shadow transform and constructing a single-valued celestial four-gluon amplitude. This amplitude is drastically different from the original Mellin amplitude. It is defined over the entire complex plane and has correct crossing symmetry, OPE and bootstrap properties. It agrees with all known OPEs of celestial gluon operators. The conformal block spectrum consists of primary fields with dimensions ∆ = m + iλ, with integer m ≥ 1 and various, but always integer spin, in all group representations contained in the product of two adjoint representations.
format	article
author	Wei Fan Angelos Fotopoulos Stephan Stieberger Tomasz R. Taylor Bin Zhu
author_facet	Wei Fan Angelos Fotopoulos Stephan Stieberger Tomasz R. Taylor Bin Zhu
author_sort	Wei Fan
title	Conformal blocks from celestial gluon amplitudes. Part II. Single-valued correlators
title_short	Conformal blocks from celestial gluon amplitudes. Part II. Single-valued correlators
title_full	Conformal blocks from celestial gluon amplitudes. Part II. Single-valued correlators
title_fullStr	Conformal blocks from celestial gluon amplitudes. Part II. Single-valued correlators
title_full_unstemmed	Conformal blocks from celestial gluon amplitudes. Part II. Single-valued correlators
title_sort	conformal blocks from celestial gluon amplitudes. part ii. single-valued correlators
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/ccdd9aae761f484bb2af5dc380a1a09c
work_keys_str_mv	AT weifan conformalblocksfromcelestialgluonamplitudespartiisinglevaluedcorrelators AT angelosfotopoulos conformalblocksfromcelestialgluonamplitudespartiisinglevaluedcorrelators AT stephanstieberger conformalblocksfromcelestialgluonamplitudespartiisinglevaluedcorrelators AT tomaszrtaylor conformalblocksfromcelestialgluonamplitudespartiisinglevaluedcorrelators AT binzhu conformalblocksfromcelestialgluonamplitudespartiisinglevaluedcorrelators
_version_	1718407859379634176

Conformal blocks from celestial gluon amplitudes. Part II. Single-valued correlators

Ejemplares similares